Research Papers: Fluid-Structure Interaction

Transient Heat Transfer of a Hollow Cylinder Subjected to Periodic Boundary Conditions

[+] Author and Article Information
Yujia Sun

School of Energy and Power Engineering,
Nanjing University of Science and Technology,
Nanjing 210094, China

Xiaobing Zhang

School of Energy and Power Engineering,
Nanjing University of Science and Technology,
Nanjing 210094, China
e-mail: zhangxb680504@163.com

1Corresponding author.

Contributed by the Pressure Vessel and Piping Division of ASME for publication in the JOURNAL OF PRESSURE VESSEL TECHNOLOGY. Manuscript received October 12, 2014; final manuscript received February 2, 2015; published online February 27, 2015. Assoc. Editor: Jong Chull Jo.

J. Pressure Vessel Technol 137(5), 051303 (Oct 01, 2015) (10 pages) Paper No: PVT-14-1165; doi: 10.1115/1.4029757 History: Received October 12, 2014; Revised February 02, 2015; Online February 27, 2015

The purpose of this paper is to study the transient temperature responses of a hollow cylinder subjected to periodic boundary conditions, which comprises with a short heating period (a few milliseconds) and a relative long cooling period (a few seconds). During the heating process, the inner surface is under complex convection heat transfer condition, which is not so easy to approximate. This paper first calculated the gas temperature history and the convective heat transfer coefficient history between the gas flow and the inner surface and then they were applied to the inner surface as boundary conditions. Finite element analysis was used to solve the transient heat transfer equations of the hollow cylinder. Results show that the inner surface is under strong thermal impact and large temperature gradient occurs in the region adjacent to the inner surface. Sometimes chromium plating and water cooling are used to relief the thermal shock of a tube under such thermal conditions. The effects of these methods are analyzed, and it indicates that the chromium plating can reduce the maximum temperature of the inner surface for the first cycle during periodic heating and the water cooling method can reduce the growth trend of the maximum temperature for sustained conditions. We also investigate the effects of different parameters on the maximum temperature of the inner surface, like chromium thickness, water velocity, channel diameter, and number of cooling channels.

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Fig. 1

Schematic of the cross section with water cooling channels and chromium coating (not to scale)

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Fig. 2

Typical heat flux variations with time of the inner surface: (a) over 60 s and (b) during the interior ballistics process (heating period)

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Fig. 3

(a) Temperature history and (b) convective heat transfer coefficient history of combustion gas during the interior ballistics period

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Fig. 4

Grid settings for calculation of temperature field of the tube: (a) without cooling channel and (b) with cooling channel

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Fig. 5

Validation of the FEM simulations

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Fig. 6

Transient temperature history of the inner surface and outer surface for 20 rounds under natural cooling

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Fig. 7

Temperature trend of the inner surface for 20 rounds: (a) Maximum temperature and (b) minimum temperature

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Fig. 8

Temperature history of the outer surface for 20 rounds

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Fig. 9

Radial temperature profile for different cooling methods: (a)–(c) at a depth of 2 mm and (d) through the thickness of the tube

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Fig. 10

Temperature distributions at some time (at the end of 5th round, 15th round, 20th round, and 25th round): (a) pure steel and (b) with water cooling channels

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Fig. 11

Heat flux variations of the inner surface with round number

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Fig. 12

Maximum temperature variations with round number under different chromium layer thicknesses

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Fig. 13

Maximum temperature variations with round number under different cooling parameters: (a) water velocity; (b) diameter of channels; and (c) number of cooling channels




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